Finding the Third Proportional to 50,746 and 72,127

Step by Step Solution

1. Step 1: Write the proportion equation
   50,746 : 72,127 = 72,127 : x
2. Step 2: Convert to fraction form
   50,746/72,127 = 72,127/x
3. Step 3: Cross multiply
   50,746x = 72,127 × 72,127
4. Step 4: Simplify right side
   50,746x = 5,202,304,129
5. Step 5: Solve for x
   x = 5,202,304,129/50,746
6. Step 6: Final answer
   x = 102,516.54